152965709568 has 432 divisors, whose sum is σ = 523773659136. Its totient is φ = 42012794880.

The previous prime is 152965709557. The next prime is 152965709573. The reversal of 152965709568 is 865907569251.

152965709568 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 6 + 570 + 9 + 56 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81493846 + ... + 81495722.

Almost surely, 2^152965709568 is an apocalyptic number.

152965709568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152965709568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261886829568).

152965709568 is an abundant number, since it is smaller than the sum of its proper divisors (370807949568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152965709568 is a wasteful number, since it uses less digits than its factorization.

152965709568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 152965709568 in words is "one hundred fifty-two billion, nine hundred sixty-five million, seven hundred nine thousand, five hundred sixty-eight".